Use △def, shown below, to answer the question that follows:

Asked by maham237 @ 28/11/2020 in Mathematics viewed by 363 People

Use △DEF, shown below, to answer the question that follows:
What is the value of x rounded to the nearest hundredth? Type the numeric answer only in the box below.

Answered by maham237 @ 28/11/2020

Answer:

$x=36.08$

Step-by-step explanation:

Given: From the given triangle DEF, ∠E=90°, DF=55 and DE=x.

To find: The value of x.

Solution:

From the given triangle DEF, applying the trigonometry, we have

$\frac{x}{55}=cos49^{\circ}$

⇒ $x=55(cos49^{\circ})$

⇒ $x=55(0.656)$

⇒ $x=36.08$

Therefore, the value of x will be 36.08.

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